11. For \( b>0 \), what are the domain and range of \( f(x)=b^{x} \) ? Choose the correct domain below. (A. \( D=(0, \infty) \) B. \( D=[0, \infty) \) C. \( D=(-\infty, 0] \) D. \( D=(-\infty, \infty) \) Choose the correct range below. A. \( R=\{y: y<0\} \) B. \( R=\{y: y \leq 0\} \) C. \( R=\{y: y>0\} \) D. \( R=\{y: y \geq 0\} \)

21. (03-2-23) \( y=\ln x \) funksiya grafigiga o'tkazilgan urinma koordinata boshidan o'tadi. Shu urinman- ing tenglamasini yozing. \( \begin{array}{lll}\text { A) } y=x & \text { B) } y=2 x & \text { C) } y=e x \\ \text { D) } y=\frac{z}{e} & \text { E) } y=3 x & \end{array} \)

1. In electricity, the impe circuit is given by the \( \sqrt{R^{2}+\left(\omega L-\frac{1}{\omega C}\right)^{2}} \) a) Make \( C \) the subject of b) Find \( C \) when \( Z=120 \), \( 310 \quad \) and \( L=0.35 \).

Sketch the curve with equation \[ y=a^{-x}+4 \]

a) Sketch the curve with equation where \( a \) is a constant and \( a>1 \) On your sketch show - the coordinates of the point of intersection of the curve with the \( y \)-axis - the equation of the asymptote to the curve.

Si la fonction exponentielle a une forme \( f(x) = a^x + k \), comment détermineriez-vous les caractéristiques clés si \( k < 0 \) ?